Question

\(5.\frac{5}{7}+\frac{7}{23}+0,5.\frac{5}{7}+\frac{16}{23}+\frac{1}{2}\)

Answer 1

\(5.\frac{5}{7}+\frac{7}{23}+0,5.\frac{5}{7}+\frac{16}{23}+\frac{1}{2}\)

\(=5.\frac{5}{7}+0,5.\frac{5}{7}+\frac{7}{23}+\frac{16}{23}+\frac{1}{2}\)

\(=(5+0,5).\frac{5}{7}+\frac{1}{23}.\left(7+16\right)+\frac{1}{2}\)

\(=\frac{11}{2}.\frac{5}{7}+\frac{1}{23}.23+\frac{1}{2}\)

\(=\frac{55}{14}+\frac{23}{23}+\frac{1}{2}\)

\(=\frac{55}{14}+\frac{1}{2}+1\)

\(=\frac{31}{7}+1=\frac{38}{7}\)

Answer 2

\(5\cdot\frac{5}{7}+\frac{7}{23}+0.5\cdot\frac{5}{7}+\frac{16}{23}\)

=\(\left(5+0.5\right)\cdot\frac{5}{7}+\left(\frac{7}{23}+\frac{16}{23}\right)\)

=5.5*\(\frac{5}{7}+1\)

=\(\frac{69}{14}\)